Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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id
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s.002158
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pagenum
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421
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xlink:href
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N, nifi quia prædicta fluida diuerſimodè reſiſtunt, &
<
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alterant naturalem impetum, & motum eiuſdem mo
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bilis. </
s
>
<
s
id
="
s.002159
">Supponamus igitur, quod gradus abſolutus ve
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/>
locitatis grauis A non retardatus, neque impeditus
<
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à craſſitie alicuius medij fluidi ſit
<
expan
abbr
="
tãtæ
">tantæ</
expan
>
energiæ vt
<
expan
abbr
="
tẽ-pore
">ten
<
lb
/>
pore</
expan
>
T excurrere poſſit prolixiùs ſpatium CL; quare
<
lb
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retardatio profecta à craſſitie fluidi M impedientę
<
lb
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eius motum ſit DL, ſed à maiori craſſitie R alterius
<
lb
/>
fluidi N retardetur ſubtrahaturque ab integro, & na
<
lb
/>
turali eius fluxu ſpatium EL maius quam DL. modò
<
lb
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ſi retardatio DL facta à denſitate S fluidi M mi
<
lb
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nor fuerit ſpatio CE exacto in fluido N minori ve
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lb
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locitate; dico, quod corporis A maior velocitas in
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lb
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fluido M ad minorem velocitatem, quam exercet in
<
lb
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fluido N minorem proportionem habebit, quàm
<
expan
abbr
="
re-ſiſtẽtia
">re
<
lb
/>
ſiſtentia</
expan
>
, ſeù craſſities R ad reſiſtentiam S: ſi verò DL
<
lb
/>
æqualis fuerit CE proportionalia erunt; & tandem̨
<
lb
/>
ſi DL maior fuerit, quam CE, tunc velocitas, quam̨
<
lb
/>
exercet A in M ad velocitatem, quam exercet in N
<
lb
/>
<
expan
abbr
="
maiorẽ
">maiorem</
expan
>
<
expan
abbr
="
proportionẽ
">proportionem</
expan
>
habebit, quàm craſſities R ad S. </
s
>
</
p
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<
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type
="
margin
">
<
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id
="
s.002160
">
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margin.target
id
="
marg549
"/>
Cap. 10. de
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/>
æquitempo
<
lb
/>
ranea natu
<
lb
/>
rali veloci
<
lb
/>
tate
<
expan
abbr
="
grauiũ
">grauium</
expan
>
.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002161
">Ponamus primò DL minorem eſſe, quàm CE. quia
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lb
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eadem ED ad maiorem CE habet
<
expan
abbr
="
minorẽ
">minorem</
expan
>
propor
<
lb
/>
tionem quàm ad minorem DL, igitur componendo
<
lb
/>
DC ad CE minorem proportionem habebit, quàm̨
<
lb
/>
EL ad LD, ſed vt DC ad CE, ita ſe habet velocitas
<
lb
/>
ipſius A in fluido M ad
<
expan
abbr
="
velocitatẽ
">velocitatem</
expan
>
eiuſdem in fluido
<
lb
/>
N, (propterea quòd velocitates eodem tempore T
<
lb
/>
exactè proportionales ſunt ſpatijs excurſis): & ſimi
<
lb
/>
litèr impedimentum, & retardatio, quam affert craſ-</
s
>
</
p
>
</
chap
>
</
body
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</
text
>
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